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10100311314 = 2331612114219
BaseRepresentation
bin10010110100000011…
…01000010100010010
3222001220111222101020
421122001220110102
5131141134430224
64350124420310
7505203141522
oct113201502422
928056458336
1010100311314
1143133a9425
121b5a6a7696
13c4c70c892
146bb5d5682
153e1ac4c79
hex25a068512

10100311314 has 64 divisors (see below), whose sum is σ = 21299589120. Its totient is φ = 3188808000.

The previous prime is 10100311279. The next prime is 10100311343. The reversal of 10100311314 is 41311300101.

It is a junction number, because it is equal to n+sod(n) for n = 10100311293 and 10100311302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2391897 + ... + 2396115.

It is an arithmetic number, because the mean of its divisors is an integer number (332806080).

Almost surely, 210100311314 is an apocalyptic number.

10100311314 is an abundant number, since it is smaller than the sum of its proper divisors (11199277806).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10100311314 is a wasteful number, since it uses less digits than its factorization.

10100311314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4527.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10100311314 its reverse (41311300101), we get a palindrome (51411611415).

The spelling of 10100311314 in words is "ten billion, one hundred million, three hundred eleven thousand, three hundred fourteen".

Divisors: 1 2 3 6 31 61 62 93 122 183 186 211 366 422 633 1266 1891 3782 4219 5673 6541 8438 11346 12657 12871 13082 19623 25314 25742 38613 39246 77226 130789 257359 261578 392367 399001 514718 772077 784734 798002 890209 1197003 1544154 1780418 2394006 2670627 5341254 7978129 15956258 23934387 27596479 47868774 54302749 55192958 82789437 108605498 162908247 165578874 325816494 1683385219 3366770438 5050155657 10100311314